Investigation of the Age-Dependent Constitutive Relations of Mortar
Publication: Journal of Engineering Mechanics
Volume 138, Issue 3
Abstract
The stress-strain relation of cement binder is age-dependent and so is the behavior of mortar. In this study, we conducted a concurrent experimental and theoretical investigation into the effect of material age on the properties of both cement binder and mortar. First the stress-strain curves of the binder were measured over a wide range of aging time from 7 days to 18 months. Two types of binder—one with the cement paste alone and the other with the fly ash/cement combination—were chosen in the tests. The test results were simulated with a modified, age-dependent Burgers rheological model. Then measured were the stress-strain curves of the mortar that contains the same types of cement at three levels of aggregate volume concentrations: , 38, and 49%. A micromechanics-based composite model making use of the secant-moduli was then introduced to predict the age-dependent behavior of mortar at various aging times and aggregate concentrations. Direct comparison between the measured data and the composite predictions is found to be in close agreement. It suggests that the proposed micromechanics model could be a viable approach to the estimate of age-dependent constitutive relations of mortar.
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Acknowledgments
H. H. Pan was supported by the Taiwan National Science Council under NSCTNSC 93-2211-E-151-007, and G. J. Weng by the National Science Foundation under NSFCMS 05-10409.
References
Alexander, M. G., and Milne, T. I. (1995). “Influence of cement blend and aggregate type on stress-strain behavior and elastic modulus of concrete.” ACI Mater. J., 92(3), 227–235.
Al-Khaiat, H., and Fattuhi, N. (2001). “Long-term strength development of mortar in arid conditions.” Cem. Concr. Compos., 23(4), 363–373.
Atrushi, D. (2003). “Tensile and compressive creep of early age concrete: testing and modeling.” Ph.D. thesis, Norwegian Univ. of Science and Technology, Trondheim, Norway.
Baalbaki, W., Benmokkrane, B., Chaallal, O., and Aitcin, P. C. (1991). “Influence of coarse aggregate on elastic properties of high-performance concrete.” ACI Mater. J., 88(5), 499–503.
Benveniste, Y. (1987). “A new approach to the application of Mori-Tanaka theory in composite materials.” Mech. Mater., 6(2), 147–157.
Carreira, D. J., and Chu, K. H. (1985). “Stress-strain relationship for plain concrete in compression.” J. Am. Concr. Inst., 82(6), 797–804.
Chen, Z., Hu, Y., Li, Q. B., Sun, M. Y., Lu, P. Y., and Liu, T. Y. (2010). “Behavior of concrete in water subjected to dynamic triaxial compression.” J. Eng. Mech., 136(3), 379–389.
Di Luzio, G. (2009). “Numerical model for time-dependent fracturing of concrete.” J. Eng. Mech., 135(7), 632–640.
Du, X. L., Lu, D. C., Gong, Q. M., and Zhao, M. (2010). “Nonlinear unified strength criterion for concrete under three-dimensional stress states.” J. Eng. Mech., 136(1), 51–59.
Eshelby, J. D. (1957). “The determination of the elastic field of an ellipsoidal inclusion, and related Problems.” Proc., R. Soc. Lond., A, 241(1226), 376–396.
Grassl, P., and Pearce, C. (2010). “Mesoscale approach to modeling concrete subjected to thermomechanical loading.” J. Eng. Mech., 136(3), 322–328.
Harsh, S., Shen, Z., and Darwin, D. (1990). “Strain-rate sensitive behavior of cement paste and mortar in compression.” ACI Mater. J., 87(5), 508–515.
Hill, R. (1963). “Elastic properties of reinforced solids: Some theoretical principles.” J. Mech. Phys. Solids, 11(5), 357–372.
Katz, A. (1996). “Effect of fiber modulus of elasticity on the long term properties of micro-fiber reinforced cementitious composites.” Cem. Concr. Compos., 18(6), 389–399.
Kuo, T. H., Pan, H. H., and Weng, G. J. (2008). “Micromechanics-based predictions on the overall stress-strain relations of cement-matrix composites.” J. Eng. Mech., 134(12), 1045–1052.
Laplante, P. (1993). “Properties mecaniques de betons durcissants: Analyse comparee des betons classique et a tres hautes performances [Mechanical properties of hardening concrete: A comparative analysis of ordinary and high performance concretes].” Ph.D. thesis, Ecole Nationale des Ponts et Chaussees, Paris (in French).
Lopez, M., Kahn, L. F., and Kurtis, K. E. (2007). “Characterization of elastic and time-dependent deformation in normal strength and high performance concrete by image analysis.” Cem. Concr. Res., 37(8), 1265–1277.
Mabrouk, R., Ishida, T., and Maekawa, K. (2004). “A unified solidification model of hardening concrete composite for predicting the young age behavior of concrete.” Cem. Concr. Compos., 26(5), 453–461.
Mander, J. B., Priestley, M. J. N., and Park, R. (1988). “Theoretical stress-strain model for confined concrete.” J. Struct. Eng., 114(8), 1804–1826.
Mehta, P. K. (1986). Mortar- structure, properties, and materials, Prentice-Hall, NJ.
Mori, T., and Tanaka, K. (1973). “Average stress in matrix and average elastic energy of materials with misfitting inclusions.” Acta Metall., 21(5), 571–574.
Mura, T. (1987). Micromechanics of defects in solids, 2nd Ed., Martinus Nijhoff, Dordrecht, The Netherlands.
Nataraja, M. C., Dhang, N., and Gupta, A. P. (1999). “Stress-strain curves for steel-fiber reinforced concrete under compression.” Cem. Concr. Compos., 21(5), 383–390.
Pan, H. H., and Weng, G. J. (1993). “Determination of transient and steady-state creep of metal-matrix composites by a secant moduli method.” Compos. Eng., 3(7-8), 661–674.
Pan, H. H., and Weng, G. J. (1995). “Elastic moduli of heterogeneous solids with ellipsoidal inclusions and elliptic cracks.” Acta Mech., 110(1-4), 73–94.
Pan, H. H., and Weng, G. J. (2010). “Study on strain-rate sensitivity of cementitious composites.” J. Eng. Mech., 136(9), 1076–1082.
Pane, I., and Hansen, W. (2008). “Investigation on key properties controlling early-age stress development of blended cement concrete.” Cem. Concr. Res., 38(11), 1325–1335.
Scheiner, S., and Hellmich, C. (2009). “Continuum microviscoelasticity model for aging basic creep of early-age concrete.” J. Eng. Mech., 135(4), 307–323.
Schutter, G. D. (2004). “Applicability of degree of hydration concept and maturity method for thermo-visco-elastic behaviour of early age concrete.” Cem. Concr. Compos., 26(5), 437–443.
Tandon, G. P., and Weng, G. J. (1986). “Average stress in the matrix and effective moduli of randomly oriented composites.” Compos. Sci. Technol., 27(2), 111–132.
Tandon, G. P., and Weng, G. J. (1988). “A theory of particle-reinforced plasticity.” J. Appl. Mech., 55(1), 126–135.
Tsai, W. T. (1988). “Uniaxial compression at stress-strain relation of concrete.” J. Struct. Eng., 114(9), 2133–2136.
Wee, T. H., Chin, M. S., and Mansur, M. A. (1996). “Stress-strain relationship of high-strength concrete in compression.” J. Mater. Civ. Eng., 8(2), 70–76.
Weng, G. J. (1984). “Some elastic properties of reinforced solids, with special reference to isotropic ones containing spherical inclusions.” Int. J. Eng. Sci., 22(7), 845–856.
Weng, G. J. (1990). “The theoretical connection between Mori-Tanaka’s theory and the Hashin-Shtrikman-Walpole bounds.” Int. J. Eng. Sci., 28(11), 1111–1120.
Yi, S. T., Kim, J. K., and Oh, T. K. (2003). “Effect of strength and age on the stress-strain curves of concrete specimens.” Cem. Concr. Res., 33(8), 1235–1244.
Yip, W. K. (1998). “Generic form of stress-strain equations for concrete.” Cem. Concr. Res., 28(4), 499–508.
Zhang, J., Qi, K., and Huang, Y. (2009). “Calculation of moisture distribution in early-age concrete.” J. Eng. Mech., 135(8), 871–880.
Zhao, Y. H., Tandon, G. P., and Weng, G. J. (1989). “Elastic moduli for a class of porous materials.” Acta Mech., 76(1-2), 105–130.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 138 • Issue 3 • March 2012
Pages: 297 - 306
Copyright
© 2012 American Society of Civil Engineers.
History
Received: Nov 24, 2010
Accepted: Aug 4, 2011
Published online: Aug 6, 2011
Published in print: Mar 1, 2012
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